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Finding the Third Proportional to 197,201,706 and 307,740,785

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Solution

The third proportional to 197,201,706 and 307,740,785 is: 480,241,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201,706 : 307,740,785 = 307,740,785 : x
  2. Step 2: Convert to fraction form
    197,201,706/307,740,785 = 307,740,785/x
  3. Step 3: Cross multiply
    197,201,706x = 307,740,785 × 307,740,785
  4. Step 4: Simplify right side
    197,201,706x = 94,704,390,752,416,224
  5. Step 5: Solve for x
    x = 94,704,390,752,416,224/197,201,706
  6. Step 6: Final answer
    x = 480,241,234.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.